The Dehn invariants of the Bricard octahedra

Abstract

We prove that the Dehn invariants of any Bricard octahedron remain constant during the flex and that the Strong Bellows Conjecture holds true for the Steffen flexible polyhedron.

arXiv comment13 pages, 10 figures

Cited by in corpus (6)

• Dehn invariant of flexible polyhedra
• A sufficient condition for a polyhedron to be rigid
• A necessary flexibility condition of a nondegenerate suspension in Lobachevsky 3-space
• Flexible suspensions with a hexagonal equator
• The spectrum of the Laplacian in a domain bounded by a flexible polyhedron in ${\mathbb{R}}^d$ does not always remain unaltered during the flex
• The set of flexible nondegenerate polyhedra of a prescribed combinatorial structure is not always algebraic